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Information × Registration Number 0222U002572, 0119U101302 , R & D reports Title Mathematical models, methods and algorithms for solving problems of analyzing complex systems popup.stage_title Head Kiseleva Elena M., Доктор фізико-математичних наук Registration Date 14-02-2022 Organization Oles Honchar Dnipro National University popup.description2 The object of research is the continuous linear problems of optimal set partitioning in the conditions of fuzzy initial information; applied problems of optimal use of resources of a finite set of partially ordered works; the reverse effect of processes in technical systems on the action of external factors; biharmonic potentials of different types. The aim of the work is to develop mathematical models for the construction of Voronoi diagrams with fuzzy parameters, mathematical models of the relationship between the evolution of the system and external influences; new polynomial algorithms for generalized ordering problems; analysis of computational efficiency of different types of biharmonic potentials. The methods of solving the problems of optimal partitioning of sets in case of fuzzy problem of input parameters of the problem are generalized, Voronoi diagrams with fuzzy parameters are constructed, the problem of finding the optimal coordinates of points-generators of this diagram is solved. New algorithms and their software implementation are developed on the basis of synthesis of methods of the theory of optimal partitioning of sets and neurofuzzy technologies. New algorithms for solving generalized parallel ordering problems for parallel-consecutive graphs are developed and theoretically substantiated, a comparative analysis of modern approaches to the development of approximate algorithms for combinatorial optimization problems on the feasibility of their use for parallel ordering problems. New solutions for elastic beams are obtained, taking into account the localization of the load on the beam and the deformation of the current-carrying conductor in a magnetic field. Scope: the results can be used in economics, namely in the development of network coverage by mobile operators, in the planning of capital investments of operators, credit management in the banking sector, in industrial enterprises to assess the reliability of structures.  Product Description popup.authors Boyko Lidija T Voloshko Victor L Нart Liudmyla L Hovorukha Volodymyr B Godes Julij Yakovlevich Zhuravel Serhiy V. Kiseleva Elena M Kozakova Natalya Leonidivna Kuzenkov Olexandr O Kuzʹmenko Vasylʹ I Mahas Oleksii S Nakonechnaya Tatiana V Plashenko Serhii O. Polonska Hanna Ye Prytomanova Olga M Tonkoshkur Ilya S Turchyna Valentyna Andreevna Frydman Oleksandr D Chernyts'ka Ol'ga Valentynivna Shevelova Alla Ye. popup.nrat_date 2022-03-09 Close